Updated: July 2012

- Personal
- Education
- Fields of Research
- Professional Experience
- Administrative Activities
- Scholarships
- Prizes
- List of publications

## Personal

**Tel**: 972-9-7781856

**Fax**: 972-9-7780856

**E-mail: **paran@openu.ac.il

**Born**: May 9th, 1982

**Status**:

## Education

2005 - 2009 | Ph.D., Mathematics, With Distinction, Tel Aviv University |

2003 - 2005 | M.Sc., Mathematics, Summa Cum Laude, Tel Aviv University |

2001 - 2003 | B.A.,Computer Science, Magna Cum Laude, Open University of Israel |

1998 - 2001 | B.A., Mathematics, Magna Cum Laude, Open University of Israel |

## Fields of Research

- Field Arithmetic, Galois Theory and Inverse Galois Theory.

## Professional Experience

2005-2009 | Teaching assistant, Tel Aviv University |

## Administrative Activities

### The Open University of Israel

Seminar coordinator, Department of mathematics and computer science, Open University of Israel, 2011-Present. |

Young students advisor, Department of mathematics and computer science, Open University of Israel, 2011-Present. |

## Scholarships

2010 | Rothschild Fellowship. |

2010 | Fulbright Scholarship. |

2009 | TAU faculty of exact sciences Dean’s scholarship. |

2008 | Damm Fellowship. |

## Prizes

- 2010 Israel Mathematical Union Nessyahu prize for an outstanding Ph.D. thesis.
- A prize for outstanding Ph.D. studies achievements, Tel Aviv University, 2007.

### Thesis and Dissertation

- M.Sc. Thesis, Tel-Aviv University, 2005, titled Algebraic patching over complete domains, under the guidance of Dan Haran.
- Ph.D. Thesis, Tel-Aviv University, 2009, titled Split embedding problems over complete domains, under the guidance of Dan Haran.

### List of publications

### Articles in Refereed Journals

**Algebraic patching over complete domains**,__Israel Journal of____Mathematics__166, p. 185-219, 2008 .**Split embedding problems over complete domains**,__Annals of Mathematics 170(2), p. 899-914, 2009__.**Split embedding problems over function fields over complete domains**,__American Journal of Mathematics 131, p. 1465-1484, 2009__.**Power series over generalized Krull domain**s, with M. Temkin,__Journal of Algebra 323, p. 546-550, 2010.__.**Galois theory over complete domains**,__Mathematische Annalen 348, p. 395-413, 2010.__**Patching and admissibility over two-dimenisonal complete local domains**, with D. Neftin,__Algebra and Number Theory 4, p. 743-762, 2010..__**Hilbertianity of fields of power series**,__Journal of the Institute of Mathematics of Jussiue 11, April 2012, Vol. 11, p. 351-361.__.**Galois theory over rings of arithmetic power series,**with Arno Fehm,__Advances in Mathematics 226, p. 4183-4197, 2011.__**Non-ample complete valued fields,**with Arno Fehm,__International Mathematics Research Notices 18, p. 4135-4146, 2011__.**On totally ramified extensions of discrete valued fields**, with L. Bary-Soroker, to appear in__Proceedings of a GTEM conference on Geometry and Arithmetic around Galois Theory.__**Fully Hilbertian Fields**, with L. Bary-Soroker, to appear in__Israel Journal of Mathematics.__**Klein approximation and Hilbertian fields,**with Arno Fehm, to appear in.__Journal für die reine und angewandte Mathematik__**Galois Theory over Integral Tate Algebras**, with Moshe Jarden, to appear in__New York Journal of Mathematics.__